A new iterative solver for the time-harmonic wave equation

A Multigrid-based Iterative Solver for the Frequency-domain Elastic Wave Equation

SUMMARY Efficient numerical wave modelling is essential for imaging methods such as reverse-time migration (RTM) and full waveform inversion (FWI). In 2D, frequency-domain modelling with LU factorization as a direct solver can outperform time-domain methods by one order. For 3-D problems, the computational complexity of the LU factorization as well as its memory requirements are a disadvantage ...

A fast eikonal equation solver using the Schrödinger wave equation

Abstract. We use a Schrödinger wave equation formalism to solve the eikonal equation. We show that a solution to the eikonal equation is obtained in the limit as ~ → 0 of the solution to the corresponding linear Schrödinger equation. The Schrödinger equation corresponding to the eikonal turns out to be a generalized, screened Poisson equation. Despite being linear, it does not have a closed-for...

Latus: A new accelerator for generating combined iterative methods in solving nonlinear equation

Developing a Multigrid Solver for Standing Wave Equation

In this paper multigrid technique is adapted for solving standing one-dimensional wave equation with radiation boundary conditions. Solver, consisting of wave cycle and ray cycle, uses Gauss-Seidel and Kaczmarz relaxation sweeps and is aimed to work efficiently for all error components.

A New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation

In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system...